Elementary Differential Equations

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Elementary Differential EquationsBoyce, WISBN-13: 9780470458327Table of ContentsChapter 1 Introduction Some Basic Mathematical Models; Direction Fields Solutions of Some Differential Equations Classification of Differential Equations Historical Remarks 26Chapter 2 First Order Differential Equations Linear Equations ; Method of Integrating Factors Separable Equations Modeling with First Order Equations Differences Between Linear and Nonlinear Equations Autonomous Equations and Population Dynamics Exact Equations and Integrating Factors Numerical Approximations: Euler s Method The Existence and Uniqueness Theorem First Order Difference Equations 122Chapter 3 Second Order Linear Equations Homogeneous Equations with Constant Coefficients Solutions of Linear Homogeneous Equations ; the Wronskian Complex Roots of the Characteristic Equation Repeated Roots; Reduction of Order Nonhomogeneous Equations ; Method of Undetermined Coefficients Variation of Parameters Mechanical and Electrical Vibrations Forced Vibrations 207Chapter 4 Higher Order Linear Equations General Theory of nth Order Linear Equations Homogeneous Equations with Constant Coefficients The Method of Undetermined Coefficients The Method of Variation of Parameters 241Chapter 5 Series Solutions of Second Order Linear Equati

Elementary Differential Equations Boyce, W ISBN-13: 9780470458327 Table of Contents Chapter 1 Introduction 1 1.1 Some Basic Mathematical Models; Direction Fields 1 1.2 Solutions of Some Differential Equations 10 1.3 Classification of Differential Equations 19 1.4 Historical Remarks 26

  Differential, Equations, Elementary, Elementary differential equations, Differential equations